Answer:
250 students
Step-by-step explanation:
Given data
Let the total number of students be x
Number of students that plays instrument = 10
Hence
40% of x = 10
40/100*x= 100
0.4x=100
x=100/0.4
x= 250
Hence there are 250 students in total
Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
Profit = revenue - expenses
expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses
revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==
B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==
9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==
Factorization of 8
= (2*2*2)
Answer:
y = 13x + 86
Step-by-step explanation:
y−8 =13(x+6); distribute the 13
y - 8 = 13x + 78; now add 8 to both sides
y = 13x + 86; this is the slope intercept form
